What is (y^2)/(625)-(x^2)/(2500)=1 ?

The solution to (y^2)/(625)-(x^2)/(2500)=1 is Hyperbola with (h,k)=(0,0),a=25,b=50

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(y^2)/(625)-(x^2)/(2500)=1

\frac{y ^{2}}{625} - \frac{x ^{2}}{2500} = 1

(h, k) = (0, 0), a = 25, b = 50

Solution steps

\frac{y ^{2}}{625} - \frac{x ^{2}}{2500} = 1

Rewrite

\frac{y ^{2}}{625} - \frac{x ^{2}}{2500} = 1

in the form of a standard hyperbola equation

\frac{( y - 0 ) ^{2}}{2 5 ^{2}} - \frac{( x - 0 ) ^{2}}{5 0 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 25, b = 50

x^{2} - y^{2} = - 16

- x^{2} + 2 x + 4 y^{2} + 24 y + 31 = 0

9 x^{2} - 9 y^{2} = 9

(x + y) (x - y) = 119

y^{2} - 4 x^{2} - 4 y + 24 x = 48

What is (y^2)/(625)-(x^2)/(2500)=1 ?
The solution to (y^2)/(625)-(x^2)/(2500)=1 is Hyperbola with (h,k)=(0,0),a=25,b=50